Publication

An energy-based analysis of reduced-order models of (networked) synchronous machines

Stegink, T. W., De Persis, C. & Van der Schaft, A. J., 2-Jan-2019, In : Mathematical and computer modelling of dynamical systems. 25, 1, p. 1-39 39 p.

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Stability of power networks is an increasingly important topic because of the high penetration of renewable distributed generation units. This requires the development of advanced techniques for the analysis and controller design of power networks. Although there are widely accepted reduced-order models to describe the power network dynamics, they are commonly presented without details about the reduction procedure. The present article aims to provide a modular model derivation of multi-machine power networks. Starting from first-principle fundamental physics, we present detailed dynamical models of synchronous machines and clearly state the underlying assumptions which lead to some of the standard reduced-order multi-machine models. In addition, the energy functions for these models are derived, which allows to represent the multi-machine systems as port-Hamiltonian systems. Moreover, the systems are proven to be shifted passive, which permits for a power-preserving interconnection with other passive components.

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Original languageEnglish
Pages (from-to)1-39
Number of pages39
JournalMathematical and computer modelling of dynamical systems
Volume25
Issue number1
Publication statusPublished - 2-Jan-2019

    Keywords

  • Power networks, synchronous machines, energy functions, OPTIMAL FREQUENCY REGULATION, PORT-HAMILTONIAN APPROACH, TIME CONTROL FRAMEWORK, SMART POWER NETWORKS, STABILITY ANALYSIS, SYSTEMS, GRIDS

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